Uniwersytet Śląski w Katowicach

Redaktor Annales Mathematicae Silesianae

• Magister Matematyki – Uniwersytet Śląski, Katowice 1992 r.
• Doktor Nauk Matematycznych – Uniwersytet Śląski, Katowice 1998 r.
• Doktor Habilitowany Nauk Matematycznych – Uniwersytet Śląski, Katowice 2011 r.

Mój aktualny plan zajęć dydaktycznych dostępny jest na tej stronie.

Artykuły naukowe

1. Anna Bahyrycz, Justyna Sikorska, On a general n-linear functional equation, Results Math. (2022) (accepted for publication).
2. Anna Bahyrycz, Justyna Sikorska, On stability of a general bilinear functional equation, Results Math. 76 (2021), art. no. 143, doi:10.1007/s00025-021-01447-w.
3. Anna Bahyrycz, Justyna Sikorska, On a general bilinear functional equation, Aequationes Math. 95 (2021), 1257-1279, doi:10.1007/s00010-021-00819-5.
4. Jacek Chmieliński, Justyna Sikorska, Paweł Wójcik, On a ρ-orthogonally additive mappings, Results Math 75 (2020), art. no. 108, doi:10.1007/s00025-020-01238-9.
5. Justyna Sikorska, On a class of abstract convex cone valued functional equations, Aequationes Math. 94 (2020), 535–545, doi:10.1007/s00010-019-00669-2.
6. Justyna Sikorska, Alienation and the stability problem, Results Math 75, 98 (2020), doi:10.1007/s00025-020-01216-1
7. Justyna Sikorska, On a method of solving some functional equations for set-valued functions, Set-Valued Var. Anal 27 (2019), 295-304, doi:10.1007/s11228-017-0465-0.
8. Radosław Łukasik, Justyna Sikorska, Tomasz Szostok, On an equation of Sophie Germain, Results Math 73 (2018), art. no. 60, doi:10.1007/s00025-018-0820-y.
9. Justyna Sikorska, A singular behaviour of a set-valued approximate orthogonal additivity, Results Math 70, no. 1-2 (2016), 163-172.
10. Zygfryd Kominek, Justyna Sikorska, Alienation of the logarithmic and exponential functional equations, Aequationes Math. 90, no. 1 (2016), 107-121.
11. Justyna Sikorska, Set-valued orthogonal additivity, Set-Valued Var. Anal 23 (2015), 547-557.
12. Janusz Brzdęk, Włodzimierz Fechner, Mohammad S. Moslehian, Justyna Sikorska, Recent developments of the conditional stability of the homomorphism equation, Banach J. Math. Anal. 9, no. 3 (2015), 278-327.
13. Justyna Sikorska, Orthogonalities and functional equations, Aequationes Math. 89 (2015), 215-277.
14. Anna Bahyrycz, Janusz Brzdęk, Magdalena Piszczek, Justyna Sikorska, Hyperstability of the Fréchet equation and a characterization of inner product spaces, J. Funct. Spaces 2013 (2013) art. no. 496361.
15. Włodzimierz Fechner, Justyna Sikorska, On a separation for the Cauchy equation on spheres, Nonlinear Anal. 75 (2012), 6306-6311.
16. Zygfryd Kominek, Justyna Sikorska, On a Jensen-Hosszú equation, II, Math. Inequal. Appl. 15 (2012), 61-67.
17. Gian Luigi Forti, Justyna Sikorska, Variations on the Drygas equation and its stability, Nonlinear Anal. 74 (2011), 343-350.
18. Justyna Sikorska, On a direct method for proving the Hyers-Ulam stability of functional equations, J. Math. Anal. Appl. 372 (2010), 99-109, doi:10.1016/j.jmaa.2010.06.056.
19. Włodzimierz Fechner, Justyna Sikorska, On the stability of orthogonal additivity, Bulletin Polish Acad. Sci. Math. 58 (2010) 23-30, doi:10.4064/ba58-1-3.
20. Janusz Brzdęk, Justyna Sikorska, On a conditional exponential functional equation and its stability, Nonlinear Anal. 72 (2010), 2923-2934 .
21. Justyna Sikorska, Exponential functional equation on spheres, Appl. Math. Lett. 23 (2) (2010), 156-160.
22. Justyna Sikorska, On a pexiderized conditional exponential functional equation, Acta Math. Hungar. 125, no.3 (2009), 287-299.
23. Justyna Sikorska, On two conditional Pexider functional equations and their stabilities, Nonlinear Anal. 70 (2009), 2673-2684, doi:10.1016/j.na.2008.03.054.
24. Justyna Sikorska, Generalized stability of the Cauchy and Jensen functional equations on spheres, J. Math. Anal. Appl. 345 (2008), 650-660.
25. Claudi Alsina, Justyna Sikorska, M. Santos Tomás, On the equation of the ρ-orthogonal additivity, Comment. Math. 47, no. 2 (2007), 171-178.
26. Justyna Sikorska, Tomasz Szostok, On mappings preserving equilateral triangles in normed spaces, J. Geom. 85 (2006), 149-156.
27. Claudi Alsina, Maciej Sablik, Justyna Sikorska, On a functional equation based upon a result of Gaspard Monge, J. Geom. 85 (2006), 1-6.
28. Justyna Sikorska, Generalized orthogonal stability of some functional equations,  J Inequal Appl 2006 (2006), art. no. 12404, pp. 23,  doi:10.1155/JIA/2006/12404.
29. Justyna Sikorska, Stability of the preservation of the equality of distance, J. Math. Anal. Appl. 311 (2005), 209-217.
30. Justyna Sikorska, Tomasz Szostok, On mappings preserving equilateral triangles, J. Geom. 80, no. 1-2 (2004), 209-218.
31. Justyna Sikorska, Orthogonal stability of the Cauchy functional equation on balls in normed linear spaces, Demonstratio Math. 37, no. 3 (2004), 579-596.
32. Justyna Sikorska, On a functional equation related to power means, Aequationes Math. 66, no. 3 (2003), 261-276.
33. Justyna Sikorska, Orthogonal stability of the Cauchy equation on balls, Demonstratio Math. 33, no. 3 (2000), 527-546.
34. Justyna Sikorska, Note on a functional equation related to the power means, Math. Pannon. 11, no. 2 (2000), 199-204.
35. Justyna Sikorska, Differentiable solutions of a functional equation related to the non-power means, Aequationes Math. 55 (1998), 146-152.
36. Roman Ger, Justyna Sikorska, On the Cauchy equation on spheres, Ann. Math.  Silesianae 11 (1997), 89-99.
37. Roman Ger, Justyna Sikorska, Stability of the orthogonal additivity, Bulletin Polish Acad. Sci. Math. 43, no. 2 (1995), 143-151.

Monografie naukowe

Claudi Alsina, Justyna Sikorska, M. Santos Tomás, Norm Derivatives and Characterizations of Inner Product Spaces, World Scientific Publishing Co., New Jersey – London – Singapore, 2010; doi: 10.1142/7452, ISBN: 978-981-4287-26-5 (hardcover), ISBN: 978-981-4466-80-6 (ebook).

Materiały konferencyjne / rozdziały w monografiach naukowych

1. Włodzimierz Fechner, Justyna Sikorska, Sandwich theorems for orthogonally additive functions, Inequalities and Applications, International Series of Numerical Mathematics, vol. 157, 269-281 (2008).